This is an interesting list. Not sure why you chose these ingredients and not others. There is considerable research over the past 25-30 years that shows vitamins, minerals, trace elements and phytonutrients need to be in a balanced and highly absorbable formula. They work in partnership with each other, and if you consume some and not others, you wind up wasting a lot of money. Most vitamin pills are absorbed 15-30% at best. So it doesn't matter what's in the pill that you swallow, it matters what the body actually absorbs.
So what you've listed are important, but others are left out.
What issues is this 17 year old facing? Is there something in particular that you are hoping to help her combat? Cellular nutrition makes a huge difference with a whole host of issues but you want something highly bioavailable with an absorption rate upwards of 90-95%. You also absolutely DO NOT want to mix and match vitamins on your own (or have her do it). I'd look at the labels of almost every vitamin supplement you can find, and I would hazard a guess that you will find warning labels saying they can be hazardous. It also might be worth looking at all the additives in them - sorbitol, dyes, aspartame and others. Depending on what this young woman is dealing with, those could be even more problematic than for the general population.